Greatest Common Factor of 3729 and 3735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 3729, 3735 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3729 and 3735 is 3.

GCF(3729,3735) = 3

GCF of 3729 and 3735

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 3729 and 3735

GCF of 3729 and 3735 is 3

Prime Factorization of 3729


3 3729
11 1243
113 113
1

Prime factors of 3729 are 3,11,113. Prime factorization of 3729 in exponential form is:

3729 = 31×111×1131

Prime Factorization of 3735


3 3735
3 1245
5 415
83 83
1

Prime factors of 3735 are 3,5,83. Prime factorization of 3735 in exponential form is:

3735 = 32×51×831

∴ So by taking common prime factors GCF of 3729 and 3735 is 3

Greatest Common Factor of 3729 and 3735 by matching factors method

Factors of 3729

List of positive integer factors of 3729 that divides 3729 without a remainder.

1,3,11,33,113,339,1243,3729

Factors of 3735

List of positive integer factors of 3735 that divides 3735 without a remainder.

1,3,5,9,15,45,83,249,415,747,1245,3735

Greatest Common Factor

We found the factors and prime factorization of 3729 and 3735. The biggest common factor number is the GCF number.
So the greatest common factor 3729 and 3735 is 3.

Also check out the Least Common Multiple of 3729 and 3735

Properties of GCF 3729 and 3735

(i) The GCF of 3729 and 3735 is associative

GCF of 3729 and 3735 = GCF of 3735 and 3729

Related Greatest Common Factor of 3729

Related Greatest Common Factor of 3735

Frequently Asked Questions on GCF of 3729 and 3735

1. What is the GCF of 3729 and 3735?

Answer: GCF of 3729 and 3735 is 3.

2. What are the Factors of 3729?

Answer: Factors of 3729 are 1, 3, 11, 33, 113, 339, 1243, 3729. There are 8 integers that are factors of 3729. The greatest factor of 3729 is 3729.

3. What are the Factors of 3735?

Answer: Factors of 3735 are 1, 3, 5, 9, 15, 45, 83, 249, 415, 747, 1245, 3735. There are 12 integers that are factors of 3735. The greatest factor of 3735 is 3735.

4. How to Find the GCF of 3729 and 3735?

Answer:

Greatest Common Factor of 3729 and 3735 = 3

Step 1: Find the prime factorization of 3729

3729 = 3 x 11 x 113

Step 2: Find the prime factorization of 3735

3735 = 3 x 3 x 5 x 83

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 3729 and 3735 is 3